--- a/src/HOL/Analysis/Starlike.thy Tue Dec 03 16:51:53 2019 +0100
+++ b/src/HOL/Analysis/Starlike.thy Wed Dec 04 12:00:07 2019 +0100
@@ -1296,11 +1296,6 @@
shows "rel_frontier((\<lambda>x. a + x) ` S) = (\<lambda>x. a + x) ` (rel_frontier S)"
by (simp add: rel_frontier_def translation_diff rel_interior_translation closure_translation)
-lemma closed_affine_hull [iff]:
- fixes S :: "'n::euclidean_space set"
- shows "closed (affine hull S)"
- by (metis affine_affine_hull affine_closed)
-
lemma rel_frontier_nonempty_interior:
fixes S :: "'n::euclidean_space set"
shows "interior S \<noteq> {} \<Longrightarrow> rel_frontier S = frontier S"